Question

What is the minimum number of point-to-point WANs that are needed to connect n LANs if each LAN should be able to communicate with any other LAN?

Answer 1

Explanation:

Find out how Fortinet's Security Driven Networking approach completely magnifies the digital business experience for your WAN Edge with paramount networking performance and security. Join us to gain insights into critical use cases, plus how you can transform your WAN Edge with 10 times faster performance and new SD-WAN operations servicesThe Network allows computers to connect and communicate with different computers via any medium. LAN, MAN and WAN are the three major types of the network designed to operate over the area they cover. There are some similarities and dissimilarities between them. One of the major differences is the geographical area they cover, i.e. LAN covers the smallest area; MAN covers an area larger than LAN and WAN comprises the largest of all.

There are other types of Computer Networks also, like :

PAN (Personal Area Network)

SAN (Storage Area Network)

EPN (Enterprise Private Network)

VPN (Virtual Private Network)

Local Area Network (LAN) –

LAN or Local Area Network connects network devices in such a way that personal computer and workstations can share data, tools and programs. The group of computers and devices are connected together by a switch, or stack of switches, using a private addressing scheme as defined by the TCP/IP protocol. Private addresses are unique in relation to other computers on the local network. Routers are found at the boundary of a LAN, connecting them to the larger WAN.

Data transmits at a very fast rate as the number of computers linked are limited. By definition, the connections must be high speed and relatively inexpensive hardware (Such as hubs, network adapters and Ethernet cables). LANs cover smaller geographical area (Size is limited to a few kilometers) and are privately owned. One can use it for an office building, home, hospital, schools, etc. LAN is easy to design and maintain. A Communication medium used for LAN has twisted pair cables and coaxial cables. It covers a short distance, and so the error and noise are minimized.

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Answer 2

We need only $[n \times(n-1)] / 2$ points.

Explanation:

• A 'point-to-point' communication is one of the most familiar types of WAN connections. PPP links are used to link LANs to WAN service providers and to connect 'LAN' segments to an organization network.
• In the above each 'LAN' to be linked to (n − 1) 'LANs', that means, we will have $n \times(n-1)$ connections. However, if we can use each connection in both directions, we need only $[n \times(n-1)] / 2$ connections.

To know more

What is point to point connection in network?

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